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According to our insider, the athlete "is wooing J. Lo in many ways" that include gifts, fine dining and sweet messages. And through every romantic gesture comes a spark that friends can't ignore.

"They can't keep their hands off each other in public or amongst close friends," our insider shared. "It got really hot and heavy and they want to see where this goes, but are hopeful it can lead into a future."

During this romance, Jennifer has already introduced Alex to her momGuadalupe Rodríguez. The Shades of Blue star has hung out with Alex's sisterSusy Dunand. And according to a source, the MLB star also met Jennifer's twins who "really like him."

"She's an amazing, amazing girl. One of the smartest human beings I've ever met and also an incredible mother," Alex gushed during a recent appearance on The View. "She just likes simple things. I mean, she's a very, very simple person. Loves family. Is a great sister. Is a great daughter."

While we're not sure where their love story is headed next geographically, friends and family can see the light and the love between the pair.

"All his friends can tell he really likes J.Lo [but] in the beginning they thought this may just be a fling," a source shared with us. "Friends are slowly thinking this may actually be a great match. He calls J.Lo his lady."